My mother bounced my siblings and myself on her knee to this version:
Once in China there lived a great man
His name was Chickerachi Chicho Chan
His legs were long and his feet were small
The Chinaman couldn't walk at all.

On his stick he walked about down the street where the folks did shout:
Here he comes and there he goes the Chinaman with the monkey's nose.
He was Chickeracka Chicho Chychicalorum Conchilorum Etapica Caco Yugo Eta Kitti Cattico Ondon Chinaman ChineeGo.